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Simplifying 5(x + -6) + -7(x + -2) = -8 Reorder the terms: 5(-6 + x) + -7(x + -2) = -8 (-6 * 5 + x * 5) + -7(x + -2) = -8 (-30 + 5x) + -7(x + -2) = -8 Reorder the terms: -30 + 5x + -7(-2 + x) = -8 -30 + 5x + (-2 * -7 + x * -7) = -8 -30 + 5x + (14 + -7x) = -8 Reorder the terms: -30 + 14 + 5x + -7x = -8 Combine like terms: -30 + 14 = -16 -16 + 5x + -7x = -8 Combine like terms: 5x + -7x = -2x -16 + -2x = -8 Solving -16 + -2x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -8 + 16 -2x = -8 + 16 Combine like terms: -8 + 16 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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